{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# How Many Soldiers Do You Need To Beat The Night King?\n",
    "\n",
    "The [538 Riddler](https://fivethirtyeight.com/features/how-many-soldiers-do-you-need-to-beat-the-night-king/) asks us to consider a battle between The Night King's army of the dead and the army of the living:\n",
    "\n",
    "> *One soldier steps forward from each army and the pair duels—half the time the living soldier wins, half the time the dead soldier wins. If the living soldier wins, the dead soldier is dead forever. If the dead soldier wins, both he and the (formerly) living soldier return to the army of the dead.  The battle continues until one army is entirely eliminated. What starting sizes of the armies, living and dead, give each army a 50-50 chance of winning?*\n",
    "\n",
    "# Module Imports\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "import sys\n",
    "import collections\n",
    "import functools\n",
    "\n",
    "cache = functools.lru_cache(None)\n",
    "sys.setrecursionlimit(50000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# How Many Soldiers? Analysis\n",
    "\n",
    "My analysis: let $P_{d,a}$ be the probability that the living army wins. The result of a duel is either to decrease the dead by one, or to transfer one of the living to the dead. The two outcomes are equally likely, so:\n",
    "\n",
    "$$P_{d, a} = \\frac{P_{d-1, a} + P_{d+1, a-1}}{2}$$\n",
    "\n",
    "I'll answer the question \"what is the minimum number of living soldiers necessary to have at least a 50% chance versus `d` dead soldiers?\" with `living_needed(d)` and  I'll define `P_live_win(dead, alive)` to compute $P_{d,a}$.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def living_needed(dead, p=0.50):\n",
    "    \"\"\"How many living soldiers are needed for a `p` probability of defeating `dead` soldiers?\"\"\"\n",
    "    return next(a for a in range(1, sys.maxsize) if P_live_win(dead, a) >= p)\n",
    "\n",
    "@cache#@Cache2d(12000, 12000)\n",
    "def P_live_win(dead, alive):\n",
    "    \"\"\"The probability that the living win, given the number of dead and alive soldiers.\"\"\"\n",
    "    return (1 if not dead  else\n",
    "            0 if not alive else\n",
    "            (P_live_win(dead - 1, alive) + P_live_win(dead + 1, alive - 1)) / 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 4, 9, 17, 26, 38, 51, 67, 85, 106]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[living_needed(d) for d in range(1, 11)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's interesting: `[1, 4, 9, 17, 26]` would be the sequence of perfect squares if we subtract 1 from `17` and `26`. So one answer would be: \n",
    "\n",
    "> *For d dead soldiers, we need a little more than d<sup>2</sup> living soldiers.*\n",
    "\n",
    "Let's examine a bit more closely: for each number of dead soldiers, show the number of living soldiers needed for at least an even chance of victory, along with the actual victory percentage, and the quadratic formula that fits best:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def best_fit_quadratic(X, Y):\n",
    "    \"Best-fit second-degree polynomial for X, Y points.\"\n",
    "    a, b, c = np.polyfit(X, Y, 2)\n",
    "    f = lambda x: a*x**2 + b*x + c\n",
    "    err = max(abs(f(x) - y) for x, y in zip(X, Y))\n",
    "    f.__doc__ = f'{a:.3f}d^2 {b:+.3f}d {c:+.3f} (±{err:.1f})'\n",
    "    return f\n",
    "\n",
    "def show(D):\n",
    "    for d in D:\n",
    "        a = living_needed(d)\n",
    "        f = best_fit_quadratic(range(1, d + 1), [living_needed(d) for d in range(1, d + 1)])\n",
    "        print(f'P({d:3}, {a:5}) = {P_live_win(d, a):.2%} | a = {f.__doc__}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P( 10,   106) = 50.12% | a = 1.076d^2 -0.221d +0.200 (±0.5)\n",
      "P( 20,   431) = 50.04% | a = 1.100d^2 -0.509d +0.804 (±0.7)\n",
      "P( 30,   975) = 50.01% | a = 1.099d^2 -0.500d +0.777 (±0.6)\n",
      "P( 40,  1739) = 50.00% | a = 1.098d^2 -0.472d +0.652 (±0.7)\n",
      "P( 50,  2724) = 50.01% | a = 1.099d^2 -0.490d +0.753 (±0.6)\n",
      "P( 60,  3928) = 50.01% | a = 1.099d^2 -0.491d +0.760 (±0.6)\n",
      "P( 70,  5351) = 50.00% | a = 1.099d^2 -0.489d +0.733 (±0.6)\n",
      "P( 80,  6995) = 50.00% | a = 1.099d^2 -0.492d +0.772 (±0.6)\n",
      "P( 90,  8858) = 50.00% | a = 1.099d^2 -0.492d +0.763 (±0.6)\n",
      "P(100, 10942) = 50.00% | a = 1.099d^2 -0.491d +0.756 (±0.6)\n",
      "CPU times: user 7min 5s, sys: 50.8 s, total: 7min 56s\n",
      "Wall time: 7min 56s\n"
     ]
    }
   ],
   "source": [
    "%time show(range(10, 101, 10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Two things are  interesting here: First, the quadratic function is a really good fit. All the way up to `d = 100` and `a = 10942` the quadratic function fits every point to within ±0.6 (i.e., it is never off by as much as a single soldier; it is accurate to one part in 20,000).\n",
    "\n",
    "Second, the quadratic is converging; the coefficients don't change much from one line to the next. But I have no idea *why* we get `1.099d^2`.\n",
    "\n",
    "(**Addendum:** [The 538 Riddler](https://fivethirtyeight.com/features/one-small-step-for-man-one-giant-coin-flip-for-mankind/) provided an answer in the form of  [an analysis](http://www.bhsu.edu/Portals/0/Faculty-Staff/Daniel-Swenson/Riddler/night_king.pdf?ver=2019-05-19-173548-210) by Dan Swenson unisng algebraic manipulation. We agree on $1.099d^2 - 0.5d$, but Swenson says the last term should be $0.5$, and I have $0.8$ and trending up; maybe it should be 1?)\n",
    "\n",
    "Let's see a plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_needed(D):\n",
    "    \"Plot the number of living soldiers needed for a 50% chance to defeat the dead.\"\n",
    "    A = [living_needed(d) for d in D]\n",
    "    plt.xlabel('Dead'); plt.ylabel('Living')\n",
    "    plt.title('Living soldiers needed for 50% chance versus dead')\n",
    "    f = best_fit_quadratic(D, A)\n",
    "    plt.plot(D, [f(d) for d in D], 'r-')\n",
    "    plt.plot(D, A, 'kD')\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = [10, 10]\n",
    "plt.style.use('fivethirtyeight')\n",
    "plt.grid(True); \n",
    "\n",
    "plot_needed(range(2, 101, 2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that the quadratic fit remains good, always less than one soldier off.\n",
    "\n",
    "# Who remains?\n",
    "\n",
    "So far, we've concentrated on who wins the battle&mdash;which side has any soldiers left at all. But I'd also like to know the full probability distribution over how many soldiers remain. \n",
    "\n",
    "I'll use `collections.Counter` to implement probability distributions, and define `remains(dead, alive)` to return a distribution of soldiers, with positive numbers meaning that living soldiers remain and negative meaning that dead soldiers remain. The function `plot_remains` will plot one or more such distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "ProbDist = collections.Counter\n",
    "\n",
    "@cache\n",
    "def remains(dead, alive, weight=1.0):\n",
    "    \"What is the probability distribution over remaining soldiers? (Negative numbers are dead soldiers.)\"\n",
    "    return (ProbDist({alive: weight}) if not dead else\n",
    "            ProbDist({-dead: weight}) if not alive else\n",
    "            remains(dead - 1, alive, weight / 2) + remains(dead + 1, alive - 1, weight / 2))\n",
    "\n",
    "def plot_remains(pairs):\n",
    "    \"Show how many soldiers remain at the end of each (a, d) battle.\"\n",
    "    for d, a in pairs:\n",
    "        P = remains(d, a)\n",
    "        plt.plot(sorted(P), [P[x] for x in sorted(P)], 'o-', \n",
    "                 label=f'{P_live_win(d, a):.0%}, {mean(P):+.1f} for {d} v. {a}')\n",
    "    plt.legend(); plt.xlabel('Outcome'); plt.ylabel('Probability')\n",
    "    plt.title(f'Battle outcomes')\n",
    "    \n",
    "def mean(P): return sum(x * P[x] for x in P)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Counter({1: 0.5, -2: 0.5})"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "remains(1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Counter({2: 0.25, 1: 0.125, -2: 0.125, -3: 0.25, -4: 0.25})"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "remains(2, 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see a plot of the outcomes for 10 dead versus 110 living soldiers, which we know should give the living a little better than even chance to win:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_remains([(10, 110)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Wow, I did not see that coming!** \n",
    "\n",
    "But on second thought, I probably should have. This is a bimodal distribution: one likely outcome is that the 10 dead soldiers are quickly killed off and the living have about 100 survivors. Another likely outcome is a long war of attrition where the dead finally triumph, with about 20 dead soldiers remaining. The least likely scenario is the dead winning 100 duels in a row, ending with 120 dead soldiers. Also unlikely is a near-even battle where we come down to one remaining on either side (that's the local minimum in the middle).\n",
    "\n",
    "\n",
    "The label \"`51%, +25.4 for 10 v. 110`\" means that in this battle of 10 dead versus 110 living, the living have a 51% chance of winning, and the mean outcome is 25.4 living soldiers. (A negative number here would mean that only dead soldiers remain.)\n",
    "\n",
    "Let's see more plots:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_remains([(5, a) for a in range(10, 60, 15)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_remains([(10, a) for a in range(20, 150, 40)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_remains([(d, 100) for d in reversed(range(5, 21, 5))])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Other Thresholds Besides 50%\n",
    "\n",
    "What if we want an 80% chance of winning, or some other percentage? \n",
    "\n",
    "I'll try to visualize that two ways, one with a color map, and one with contour lines:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def colormap(D=range(1, 71)):\n",
    "    \"Display a dead vs alive rectangle, with color indicating P_live_win(dead, alive).\"\n",
    "    A = [living_needed(d) for d in D]\n",
    "    n = max(D)\n",
    "    points = [(d, a, P_live_win(d, a)) \n",
    "              for d in D \n",
    "              for a in range(1, 3 * n ** 2, n)]\n",
    "    Ds, As, color = zip(*points)\n",
    "    cmap = sns.cubehelix_palette(rot=2, as_cmap=True)\n",
    "    fig, ax = plt.subplots()\n",
    "    f = best_fit_quadratic(D, A)\n",
    "    plt.plot(D, [f(d) for d in D], 'k:')\n",
    "    plt.xlabel('Dead'); plt.ylabel('Living')\n",
    "    plt.title('Probability of the living winning (dotted curve = 0.5)')\n",
    "    fig.colorbar(ax.scatter(Ds, As, c=color, s=50, cmap=cmap))\n",
    "    \n",
    "colormap()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def contours(D=range(1, 41), probs=[4/5, 3/4, 2/3, 1/2, 1/3, 1/5]):\n",
    "    \"Living soldiers needed for different win percentages.\"\n",
    "    for p in probs:\n",
    "        A = [living_needed(d, p) for d in D]\n",
    "        plt.plot(D, A, 'D-', label=f'{p:.0%} | {best_fit_quadratic(D, A).__doc__}')\n",
    "    plt.legend(); plt.xlabel('Dead'); plt.ylabel('Living')\n",
    "    plt.title('Curves of living soldiers needed for different probabilities of winning')\n",
    "\n",
    "contours()"
   ]
  }
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